Research Papers: Gas Turbines: Combustion, Fuels, and Emissions

Modeling Spray Formation in Gas Turbines—A New Meshless Approach

[+] Author and Article Information
Corina Hoefler

e-mail: corina.hoefler@kit.edu

Hans-Joerg Bauer

Institut fuer Thermische Stroemungsmaschinen,
Karlsruhe Institute of Technology (KIT),
76131 Karlsruhe, Germany

Contributed by the International Gas Turbine Institute (IGTI) of ASME for publication in the Journal of Engineering for Gas Turbines and Power. Manuscript received June 20, 2012; final manuscript received July 3, 2012; published online November 26, 2012. Editor: Dilip R. Ballal.

J. Eng. Gas Turbines Power 135(1), 011503 (Nov 26, 2012) (8 pages) Paper No: GTP-12-1189; doi: 10.1115/1.4007378 History: Received June 20, 2012; Revised July 03, 2012

A new meshless Lagrangian particle code has been developed to tackle the challenging numerical modeling of primary atomization. In doing so the correct treatment and representation of the interfacial physics are crucial prerequisites. Grid based codes using interface tracking or interface capturing techniques, such as the volume of fluid or level set method, exhibit difficulties regarding mass conservation, curvature capturing and interface diffusion. The objective of this work is to overcome these shortcomings of common state-of-the-art grid based approaches. Our multidimensional meshless particle code is based on the smoothed particle hydrodynamics (SPH) method. Various test cases have been conducted, by which the capability of accurately capturing the physics of single and multiphase flows is verified and the future potential of this approach is demonstrated. Compressible as well as incompresssible fluids can be modeled. Surface tension effects are taken into account by two different models. Solid walls as well as periodic boundary conditions offer a broad variety of numerically modeling technical applications. In a first step, single phase calculations of shear driven liquid flows have been carried out. Furthermore, the disintegration of a gravity driven liquid jet emerging from a generic nozzle has been investigated in free surface simulations. The typical formation of a meniscus due to surface tension is observed. Spray formation is qualitatively in good agreement compared to experiments. Finally, the results of a two-phase simulation with a fluid density ratio of 1000, which is similar to a fuel-air fluid system as in airblast atomizers, are presented. The surface minimization and pressure jump across the droplet interface due to surface tension can be predicted accurately. The test cases conducted so far demonstrate the accuracy of the existing code and underline the promising potential of this new method for successfully predicting primary atomization.

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Gingold, R. A., and Monaghan, J. J., 1977, “Smoothed Particle Hydrodynamics: Theory and Application to Non-Spherical Stars,” Mon. Not. R. Astron. Soc., 181, pp. 375–389.
Lucy, L. B., 1977, “A Numerical Approach to the Testing of Fission Hypothesis,” Astron. J., 12, pp. 1013–1024. [CrossRef]
Liu, M. B., and Liu, G. R., 2010, “Smoothed Particle Hydrodynamics (SPH): An Overview and Recent Developments,” Arch. Comput. Methods in Eng., 17, pp. 25–76 [CrossRef]
Cleary, P. W., Ha, J., Prakash, M., and Nguyen, T., 2006, “3D SPH Flow Predictions and Validation for High Pressure Die Casting of Automotive Components,” Appl. Math. Model., 30, pp. 1406–1427. [CrossRef]
Adami, S., Hu, X. Y., Adams, N. A.2010, “A New Surface-Tension Formulation for Multi-Phase SPH Using a Reproducing Divergence Approximation,” J. Comput. Phys., 229, pp. 5011–5021. [CrossRef]
Marongiu, J.-C., Leboeuf, F., Caro, J., and Parkinson, E., 2010, “Free Surface Flows Simulations in Pelton Turbines Using a Hybrid SPH-ALE,” J. Hydraul. Res., 48, pp. 40–49. [CrossRef]
Flebbe, O., Muenzel, S., Herold, H., Riffert, H., and Ruder, H., 1994, “Smoothed Particle Hydrodynamics: Physical Viscosity and the Simulation of Accretion Disks,” Astrophys. J., 431, pp. 754–760. [CrossRef]
Liu, G. R., and Liu, M. B., 2007, Smoothed Particle Hydrodynamics: A Meshfree Particle Method, World Scientific, Hackensack, NJ.
Monaghan, J. J., 1992, “Smoothed Particle Hydrodynamics,” Annu. Rev. Astron. Astrophys., 30, pp. 543–574 [CrossRef].
Ma, J., and Ge, W., 2008, “Is Standard Symmetric Formulation Always Better for Smoothed Particle Hydrodynamics?,” Comput. Math. Appl., 55, pp. 1503–1513. [CrossRef]
Morris, J. P., Fox, P. J., and Zhu, Y., 1997, “Modeling Low Reynolds Number Incompressible Flows Using SPH,” J. Comput. Phys., 136, pp. 214–226. [CrossRef]
Cole, R. H., 1948, Underwater Explosions, Princeton University Press, Princeton, NJ.
Colagrossi, A., and Landrini, M., 2003, “Numerical Simulation of Interfacial Flows by Smoothed Particle Hydrodynamics,” J. Comput. Phys., 191, pp. 448–475. [CrossRef]
Brackbill, J. U., Kothe, D. B., and Zemach, C.1992, “A Continuum Method for Modeling Surface Tension,” J. Comput. Phys., 100, pp. 335–354. [CrossRef]
Morris, J. P., 2000, “Simulating Surface Tension With Smoothed Particle Hydrodynamics,” Int. J. Numer. Methods Fluids, 33, pp. 333–353. [CrossRef]
Hernquist, L., and Katz, N., 1989, “TreeSPH: A Unification of SPH With the Hierarchical Tree Method,” Astrophys. J., Supple., 70, pp. 419–446. [CrossRef]
Hockney, R. W., and Eastwood, J. W., 1992, Computer Simulation Using Particles, Hilger, Bristol, England.
Monaghan, J. J., 1994, “Simulating Free Surface Flows With SPH,” J. Comput. Phys., 110, pp. 399–406. [CrossRef]
Lin, S. P., and Reitz, R. D., 1998, “Drop and Spray Formation From a Liquid Jet,” Annu. Rev. Fluid Mech., 30, pp. 85–105. [CrossRef]
Gepperth, S., Guildenbecher, D., Koch, R., and Bauer, H.-J., 2010, “Pre-Filming Primary Atomization: Experiments and Modeling,” 23rd European Conference on Liquid Atomization and Spray Systems (ILASS-Europe 2010), Brno, Czech Republic, September 6–8, Paper No. 25.


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Fig. 1

Interpolation for center particle (gray) via kernel function W

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Fig. 2

Setup for Couette flow simulations

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Fig. 3

Transient velocity profiles of Couette flow for Re = 10

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Fig. 4

Two-dimensional generic nozzle setup

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Fig. 5

Velocity field and particle distribution for the low (left) and high (right) viscosity case without surface tension

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Fig. 6

Velocity field and particle distribution for the low (left) and high (right) viscosity case including surface tension, which leads to meniscus formation

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Fig. 7

Time evolution of the liquid jet for the low (bottom) and high (top) viscosity test case in comparison with experiments of [19] (bottom) and [20] (top)

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Fig. 8

Particle distribution and velocity vectors at various time steps

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Fig. 9

Total kinetic energy of the system

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Fig. 10

Oscillations in pressure over time for each phase



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